How many solutions does this equation have? –9g = –7 − 9g Choices: (A)no solution (B)one solution (C)infinitely many solutions

Write Equation Given: Write down the equation given. –9g = –7 − 9gAdd 9g to Both Sides: Add 9g to both sides of the equation to move all the g terms to one side. –9g + 9g = –7 − 9g + 9gSimplify Both Sides: Simplify both sides of the equation. 0 = –7Analyze Simplified Equation: Analyze the simplified equation. The equation 0 = –7 is never true, regardless of the value of g.Conclude Number of Solutions: Conclude how many solutions the equation has based on the analysis. Since 0 = –7 is a contradiction, the equation has no solution.

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How many solutions does this equation have? $\newline$ $-9g = -7 - 9g$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

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Q. How many solutions does this equation have?

\newline

-9g = -7 - 9g

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Write Equation Given: Write down the equation given. $\newline$ $-9g = -7 - 9g$
Add $9g$ to Both Sides: Add $9g$ to both sides of the equation to move all the $g$ terms to one side. $\newline$ $−9g + 9g = −7 − 9g + 9g$
Simplify Both Sides: Simplify both sides of the equation. $\newline$ $0 = -7$
Analyze Simplified Equation: Analyze the simplified equation. $\newline$ The equation $0 = -7$ is never true, regardless of the value of $g$ .
Conclude Number of Solutions: Conclude how many solutions the equation has based on the analysis. $\newline$ Since $0 = -7$ is a contradiction, the equation has no solution.